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Finding the Fourth Proportional to 82,785.26, 114,243.64 and 45,059.78

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Solution

The fourth proportional to 82,785.26, 114,243.64 and 45,059.78 is: 62,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.26 : 114,243.64 = 45,059.78 : x
  2. Step 2: Convert to fraction form
    82,785.26/114,243.64 = 45,059.78/x
  3. Step 3: Cross multiply
    82,785.26x = 114,243.64 × 45,059.78
  4. Step 4: Simplify right side
    82,785.26x = 5,147,793,284.80
  5. Step 5: Solve for x
    x = 5,147,793,284.80/82,785.26
  6. Step 6: Final answer
    x = 62,182.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.